## Problem 005 — rank:16

**Title:** Sequence-to-condensation map

**Added binding assumptions (LaTeX):**

```latex
Require $c_-<c_+$, a globally minimizing RNA composition, and a supporting tangent: $g(c)\geq g(c_-)+\mu(c_-)(c-c_-)$ throughout the admissible concentration interval. Equality at two stationary points alone can select metastable rather than equilibrium coexistence. If several stable branches or phase pairs exist, predict the set of globally admissible pairs; do not silently choose one.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.